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Finding the Third Proportional to 264,406 and 515,528

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Solution

The third proportional to 264,406 and 515,528 is: 1,005,155.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,406 : 515,528 = 515,528 : x
  2. Step 2: Convert to fraction form
    264,406/515,528 = 515,528/x
  3. Step 3: Cross multiply
    264,406x = 515,528 × 515,528
  4. Step 4: Simplify right side
    264,406x = 265,769,118,784
  5. Step 5: Solve for x
    x = 265,769,118,784/264,406
  6. Step 6: Final answer
    x = 1,005,155.40

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.